The defenition of irony is the expression of one's meaning by using language that normally signifies the opposite, typically for humorous or emphatic effect. But the defenition of overstatement is the action of expressing or stating something too strongly; exaggeration. I believe that overstatement is the closest to what you are looking for. Analogy is a comparison between two things, typically for the purpose of explanation or clarification so we already know that that is not the answer.
Therefore, the answer would be overstatement
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